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Finding the Fourth Proportional to 448.45, 671.69 and 318.05

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Solution

The fourth proportional to 448.45, 671.69 and 318.05 is: 476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 671.69 = 318.05 : x
  2. Step 2: Convert to fraction form
    448.45/671.69 = 318.05/x
  3. Step 3: Cross multiply
    448.45x = 671.69 × 318.05
  4. Step 4: Simplify right side
    448.45x = 213,631.00
  5. Step 5: Solve for x
    x = 213,631.00/448.45
  6. Step 6: Final answer
    x = 476.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.